91Ó°ÊÓ

Real numbers are simply the combination of Whole numbers, Integers, Rational and Irrational numbers in the number system.

Suppose a, b, and c is three real numbers.

Distributive Property of Multiplication

Property: $\text{a}  \text{(b}  +  \text{c}  \text{)}  =  \text{a}  ·  \text{b} +  \text{a}  ·  \text{c}  $

Example: $\text{2}  \text{(7}  +  \text{5}  \text{)}  =  \text{2}  ·  \text{7} +  \text{2}  ·  \text{5}  =14  +  10  =  24$

In the question, the equation given: $w=1.9\left(a+b+c\right)$

Distributive Property of Multiplication

Property: $\text{a}  \text{(b}  +  \text{c}  \text{)}  =  \text{a}  ·  \text{b} +  \text{a}  ·  \text{c}  $

Using distributive property

$\begin{array}{l}w=1.9\left(a+b+c\right)\\ w=\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}a\text{ â¶Ä‰}+\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}b\text{ â¶Ä‰}+\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}c\text{ }\\ w=\text{ â¶Ä‰}1.9\text{ }a\text{ }+\text{ }1.9\text{ }b\text{ }+\text{ }1.9\text{ }c\end{array}$

When two or more numbers are multiplied together, it gives a number. The numbers that are being multiplied are called the factors. And the result of the multiplication of numbers is called the product of those numbers.

In the product $2·3·4=24$, the numbers 2, 3, and 4 are being multiplied to give the product 24. So, the numbers 2, 3, and 4 are the factors in this equation and 24 is the product of the numbers.

In the question, the information given: $a=132 inches$;$b=91 inches$;$c=85 inches$

Using Distributive property:

$\begin{array}{l}w=1.9\left(a+b+c\right)\\ w=\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}a\text{ â¶Ä‰}+\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}b\text{ â¶Ä‰}+\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}c\text{ }\\ w=\text{ â¶Ä‰}1.9\text{ }a\text{ }+\text{ }1.9\text{ }b\text{ }+\text{ }1.9\text{ }c\\ w\text{ â¶Ä‰}=\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}132\text{ â¶Ä‰}+\text{ â¶Ä‰â€‰â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}91\text{ â¶Ä‰}+\text{ â¶Ä‰}1.9\text{ â¶Ä‰}·\text{ â¶Ä‰}85\\ w=\text{ â¶Ä‰}250.8+172.9+161.5\text{ â¶Ä‰}=\text{ â¶Ä‰}585.2\text{ â¶Ä‰pounds}\end{array}$